“…(∆x 1 , ∆y 1 ) and (∆x 2 , ∆y 2 ) are the axial offsets at HR FBG and OC, respectively. Each time the laser in the cavity passes through the splicing point, it experiences two mode couplings with deviation of (∆x, ∆y) and (−∆x, −∆y), so the actual mode coupling coefficient in the laser cavity is the product of K c (∆x, ∆y) and K c (−∆x, −∆y), which can be calculated by equations ( 1)-( 4) combined with the mode distribution [4]. It should be noted that the incident optical field that is used to calculate the two coupling coefficient is different due to the reflection of the FBGs.…”